Details

Time bar (total: 21.1s)

sample421.0ms

Algorithm
intervals
Results
126.0ms121×body320valid
59.0ms81×body160valid
45.0ms22×body640valid
38.0ms267×body80nan
36.0ms523×pre80true
5.0ms32×body80valid

simplify216.0ms

Counts
1 → 1

prune29.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 53.0b

localize59.0ms

Local error

Found 4 expressions with local error:

23.5b
(- (sqrt (fma b b (* c (* -4 a)))) b)
0.1b
(/ (/ (- (sqrt (fma b b (* c (* -4 a)))) b) 2) a)
0.0b
(sqrt (fma b b (* c (* -4 a))))
0.0b
(fma b b (* c (* -4 a)))

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
138×times-frac
135×add-sqr-sqrt
108×*-un-lft-identity
82×add-cube-cbrt
28×sqrt-prod
26×difference-of-squares
22×associate-/l*
18×prod-diff
13×distribute-lft-out--
9×add-cbrt-cube add-exp-log
6×fma-neg add-log-exp
5×pow1 div-inv
4×expm1-log1p-u insert-posit16 log1p-expm1-u
3×cbrt-undiv associate-/r* div-exp
2×div-sub
1×rem-sqrt-square clear-num sub-neg frac-2neg sqrt-pow1 flip3-- pow1/2 diff-log fma-udef flip-- associate-/l/
Counts
4 → 179
Calls
4 calls:
Slowest
33.0ms
(/ (/ (- (sqrt (fma b b (* c (* -4 a)))) b) 2) a)
18.0ms
(- (sqrt (fma b b (* c (* -4 a)))) b)
2.0ms
(sqrt (fma b b (* c (* -4 a))))
0.0ms
(fma b b (* c (* -4 a)))

series474.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
166.0ms
(- (sqrt (fma b b (* c (* -4 a)))) b)
117.0ms
(/ (/ (- (sqrt (fma b b (* c (* -4 a)))) b) 2) a)
109.0ms
(sqrt (fma b b (* c (* -4 a))))
82.0ms
(fma b b (* c (* -4 a)))

simplify886.0ms

Counts
191 → 191

prune2.4s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 2.4b

localize11.0ms

Local error

Found 0 expressions with local error:

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0
Calls
0 calls:
Slowest

series0.0ms

Counts
0 → 0
Calls
0 calls:
Slowest

simplify0.0ms

Counts
0 → 0

prune97.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 2.4b

localize28.0ms

Local error

Found 2 expressions with local error:

0.3b
(/ (/ (* -2 (/ (* a c) b)) 2) a)
0.2b
(/ (* a c) b)

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
27×add-cbrt-cube add-exp-log
20×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
13×cbrt-undiv div-exp
8×associate-/l*
6×associate-/r* div-inv
5×prod-exp cbrt-unprod
2×expm1-log1p-u pow1 clear-num frac-2neg insert-posit16 log1p-expm1-u add-log-exp
1×associate-/l/
Counts
2 → 79
Calls
2 calls:
Slowest
35.0ms
(/ (/ (* -2 (/ (* a c) b)) 2) a)
17.0ms
(/ (* a c) b)

series71.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
36.0ms
(/ (* a c) b)
35.0ms
(/ (/ (* -2 (/ (* a c) b)) 2) a)

simplify693.0ms

Counts
85 → 85

prune709.0ms

Pruning

22 alts after pruning (21 fresh and 1 done)

Merged error: 2.4b

localize26.0ms

Local error

Found 3 expressions with local error:

0.3b
(/ 1 (/ a (/ (/ (* c a) b) -1)))
0.3b
(/ a (/ (/ (* c a) b) -1))
0.2b
(/ (* c a) b)

rewrite85.0ms

Algorithm
rewrite-expression-head
Rules
1098×times-frac
440×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
108×associate-/r*
72×add-exp-log
71×div-inv
48×div-exp
42×add-cbrt-cube
25×cbrt-undiv
7×associate-/l*
6×associate-/r/
5×rec-exp 1-exp prod-exp
4×pow1
3×expm1-log1p-u clear-num frac-2neg cbrt-unprod insert-posit16 log1p-expm1-u add-log-exp
1×pow-flip inv-pow
Counts
3 → 508
Calls
3 calls:
Slowest
30.0ms
(/ 1 (/ a (/ (/ (* c a) b) -1)))
18.0ms
(/ a (/ (/ (* c a) b) -1))
18.0ms
(/ (* c a) b)

series69.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
25.0ms
(/ (* c a) b)
22.0ms
(/ 1 (/ a (/ (/ (* c a) b) -1)))
21.0ms
(/ a (/ (/ (* c a) b) -1))

simplify3.4s

Counts
517 → 517

prune4.7s

Pruning

27 alts after pruning (26 fresh and 1 done)

Merged error: 2.4b

regimes530.0ms

Accuracy

0% (3.8b remaining)

Error of 6.5b against oracle of 2.7b and baseline of 6.5b

bsearch1.0ms

end0.0ms

sample6.1s

Algorithm
intervals
Results
2.0s3640×body320valid
1.2s8190×body80nan
1.1s16190×pre80true
907.0ms2895×body160valid
264.0ms498×body640valid
122.0ms967×body80valid